A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. Select the equation that will help you find the length of each side of the square.

Step-by-step explanation:

Let the length of the side of the square be x

Perimeter of the square = 4x

Let the sides of the triangle be s1, s2 and s3

If each side of the triangle is 3 inches longer than each side of the square, then

s1 = x+3

s2 = x+3

s3 = x+ 3

Perimeter of the triangle P = s1+s2 + s3

If the square and thr triangle have the same perimeter then;

perimeter of square = perimeter of triangle

4x = s1+s2+s3

4x =  x+3+ x+3+ x+3

4x = 3(x+3)

Hence the required equation is 4x = 3(x+3) where x is the side of the square.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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